LCM for 48 and 108

What's the Least Common Multiple (LCM) of 48 and 108?

Answer: LCM of 48 and 108 is 432

(Four hundred thirty-two)

Finding LCM for 48 and 108 using GCF's of these numbers

The first method to find LCM for numbers 48 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 108 is 12, so

LCM = (48 × 108) ÷ 12

LCM = 5184 ÷ 12

LCM = 432

Finding LCM for 48 and 108 by Listing Multiples

The second method to find LCM for numbers 48 and 108 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528

Multiples of 108: 108, 216, 324, 432, 540, 648

So the LCM for 48 and 108 is 432

Finding LCM for 48 and 108 by Prime Factorization

Another method to find LCM for numbers 48 and 108 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

24 × 33 = 432

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
331081188
341081836
351083780
36108
371083996
381082052
391081404
401081080
411084428
42108756
431084644
441081188
45108540
461082484
471085076
48108
491085292
501082700
511081836
521081404
531085724
54108108
551085940
561081512
571082052
581083132
591086372
60108540
611086588
621083348

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 108? (The answer is: 432). Select the first number (e.g. '48') and the second number (e.g. '108'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 48 and 108?

LCM of 48 and 108 is 432